Finite Group Databasebeta

← #11910919

Subgroups — #11910919

Order 1152.

1749 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C9×#534C211yesmaximal, characteristic, complemented
2#10589908C211yesmaximal, characteristic, complemented
3#10589906C211yesmaximal, characteristic, complemented
4D4×#611C211yesmaximal, characteristic, complemented
5C2×#63500C211yesmaximal, characteristic, complemented
6#10589769C211yesmaximal, characteristic, complemented
7#10589767C211yesmaximal, characteristic, complemented
8#10589767C211yesmaximal, characteristic, complemented
9#10589763C211yesmaximal, characteristic, complemented
10#10589762C211yesmaximal, characteristic, complemented
11#10589759C211yesmaximal, characteristic, complemented
12#10589758C211yesmaximal, characteristic, complemented
13D9×#123C211yesmaximal, characteristic, complemented
14#10589723C211yesmaximal, characteristic, complemented
15#10589722C211yesmaximal, characteristic, complemented
16#10589721C211yesmaximal, characteristic, complemented
17#10589717C211yesmaximal, characteristic, complemented
18#10589716C211yesmaximal, characteristic, complemented
19#10589715C211yesmaximal, characteristic, complemented
20#10589714C211yesmaximal, characteristic, complemented
21#10589710C211yesmaximal, characteristic, complemented
22#10589697C211yesmaximal, characteristic, complemented
23#10589695C211yesmaximal, characteristic, complemented
24#10589693C211yesmaximal, characteristic, complemented
25#10589693C211yesmaximal, characteristic, complemented
26#10589693C211yesmaximal, characteristic, complemented
27#10589692C211yesmaximal, characteristic, complemented
28#10589691C211yesmaximal, characteristic, complemented
29#10589689C211yesmaximal, characteristic, complemented
30#10589597C211yesmaximal, characteristic, complemented
31#10589592C211yesmaximal, characteristic, complemented
32#86311—31nomaximal
33C22×D4×C9C2211yescharacteristic, complemented
34C22×D4×C9C2211yescharacteristic, complemented
35C22×#611C2211yescharacteristic, complemented
36C22×#611C2211yescharacteristic, complemented
37C22×#611C2211yescharacteristic, complemented
38C22×#611C2211yescharacteristic, complemented
39C2×#3699C2211yescharacteristic, complemented
40C2×#3699C2211yescharacteristic, complemented
41C2×D4×D9C2211yescharacteristic
42C2×D4×D9C2211yescharacteristic, complemented
43C2×#3697C2211yescharacteristic, complemented
44C22×C4×D9C2211yescharacteristic, complemented
45C9×#123C2211yescharacteristic, complemented
46C9×#123C2211yescharacteristic, complemented
47C9×#123C2211yescharacteristic, complemented
48C9×#123C2211yescharacteristic, complemented
49C9×#121C2211yescharacteristic, complemented
50C9×#121C2211yescharacteristic, complemented
51C9×#121C2211yescharacteristic, complemented
52C9×#121C2211yescharacteristic, complemented
53C9×#120C2211yescharacteristic
54C9×#120C2211yescharacteristic, complemented
55C9×#120C2211yescharacteristic, complemented
56C9×#120C2211yescharacteristic, complemented
57C2×C9×C22⋊C4C2211yescharacteristic, complemented
58#63515C2211yescharacteristic
59#63515C2211yescharacteristic, complemented
60#63515C2211yescharacteristic, complemented
61#63515C2211yescharacteristic, complemented
62C2×#3676C2211yescharacteristic, complemented
63C2×#3676C2211yescharacteristic, complemented
64C2×#3676C2211yescharacteristic, complemented
65C2×#3676C2211yescharacteristic, complemented
66#63502C2211yescharacteristic, complemented
67#63502C2211yescharacteristic, complemented
68#63501C2211yescharacteristic
69#63501C2211yescharacteristic
70#63501C2211yescharacteristic, complemented
71#63501C2211yescharacteristic, complemented
72#63501C2211yescharacteristic, complemented
73#63501C2211yescharacteristic, complemented
74#63501C2211yescharacteristic, complemented
75#63501C2211yescharacteristic, complemented
76#63501C2211yescharacteristic, complemented
77#63501C2211yescharacteristic, complemented
78#63501C2211yescharacteristic, complemented
79#63501C2211yescharacteristic, complemented
80#63500C2211yescharacteristic
81#63500C2211yescharacteristic, complemented
82#63500C2211yescharacteristic, complemented
83#63500C2211yescharacteristic, complemented
84#63500C2211yescharacteristic, complemented
85#63500C2211yescharacteristic, complemented
86#63500C2211yescharacteristic, complemented
87#63500C2211yescharacteristic, complemented
88#63500C2211yescharacteristic, complemented
89#63500C2211yescharacteristic, complemented
90#63500C2211yescharacteristic, complemented
91#63500C2211yescharacteristic, complemented
92#63499C2211yescharacteristic, complemented
93#63499C2211yescharacteristic, complemented
94#63499C2211yescharacteristic, complemented
95#63499C2211yescharacteristic, complemented
96#63499C2211yescharacteristic, complemented
97#63499C2211yescharacteristic, complemented
98#63498C2211yescharacteristic, complemented
99#63498C2211yescharacteristic, complemented
100#63497C2211yescharacteristic, complemented
101#63497C2211yescharacteristic, complemented
102#63497C2211yescharacteristic, complemented
103#63497C2211yescharacteristic, complemented
104#63497C2211yescharacteristic, complemented
105#63497C2211yescharacteristic, complemented
106D4×Dic9C2211yescharacteristic, complemented
107D4×Dic9C2211yescharacteristic, complemented
108D4×Dic9C2211yescharacteristic, complemented
109D4×Dic9C2211yescharacteristic, complemented
110#63492C2211yescharacteristic, complemented
111#63492C2211yescharacteristic, complemented
112#63491C2211yescharacteristic, complemented
113#63491C2211yescharacteristic, complemented
114#63491C2211yescharacteristic, complemented
115#63491C2211yescharacteristic, complemented
116C4×#611C2211yescharacteristic, complemented
117C4×#611C2211yescharacteristic, complemented
118C4×#611C2211yescharacteristic, complemented
119C4×#611C2211yescharacteristic, complemented
120#63488C2211yescharacteristic, complemented
121C2×C4⋊Dic9C2211yescharacteristic, complemented
122#63486C2211yescharacteristic, complemented
123#63486C2211yescharacteristic, complemented
124#63460C2211yescharacteristic, complemented
125#63460C2211yescharacteristic, complemented
126#63459C2211yescharacteristic, complemented
127#63459C2211yescharacteristic, complemented
128#63458C2211yescharacteristic, complemented
129#63458C2211yescharacteristic, complemented
130#63456C2211yescharacteristic, complemented
131#63456C2211yescharacteristic, complemented
132#63455C2211yescharacteristic, complemented
133#63455C2211yescharacteristic, complemented
134C4⋊C4×D9C2211yescharacteristic, complemented
135C4⋊C4×D9C2211yescharacteristic, complemented
136#63452C2211yescharacteristic, complemented
137#63452C2211yescharacteristic, complemented
138#63451C2211yescharacteristic, complemented
139#63451C2211yescharacteristic, complemented
140#63448C2211yescharacteristic, complemented
141#63448C2211yescharacteristic, complemented
142#63448C2211yescharacteristic, complemented
143#63448C2211yescharacteristic, complemented
144#63447C2211yescharacteristic, complemented
145#63447C2211yescharacteristic, complemented
146#63447C2211yescharacteristic, complemented
147#63447C2211yescharacteristic, complemented
148#63446C2211yescharacteristic, complemented
149#63446C2211yescharacteristic, complemented
150#63446C2211yescharacteristic, complemented
151#63446C2211yescharacteristic, complemented
152#63446C2211yescharacteristic, complemented
153#63446C2211yescharacteristic, complemented
154#63445C2211yescharacteristic, complemented
155#63445C2211yescharacteristic, complemented
156#63445C2211yescharacteristic, complemented
157#63445C2211yescharacteristic, complemented
158#63445C2211yescharacteristic, complemented
159#63445C2211yescharacteristic, complemented
160#63445C2211yescharacteristic, complemented
161#63445C2211yescharacteristic, complemented
162#63444C2211yescharacteristic, complemented
163#63444C2211yescharacteristic, complemented
164#611⋊C4C2211yescharacteristic, complemented
165#611⋊C4C2211yescharacteristic, complemented
166#611⋊C4C2211yescharacteristic, complemented
167#611⋊C4C2211yescharacteristic, complemented
168#611⋊C4C2211yescharacteristic, complemented
169#611⋊C4C2211yescharacteristic, complemented
170C22⋊C4×D9C2211yescharacteristic, complemented
171C22⋊C4×D9C2211yescharacteristic, complemented
172C22⋊C4×D9C2211yescharacteristic, complemented
173C22⋊C4×D9C2211yescharacteristic, complemented
174#63441C2211yescharacteristic, complemented
175#63441C2211yescharacteristic, complemented
176#63441C2211yescharacteristic, complemented
177#63441C2211yescharacteristic, complemented
178#63441C2211yescharacteristic, complemented
179#63441C2211yescharacteristic, complemented
180#63440C2211yescharacteristic, complemented
181#63440C2211yescharacteristic, complemented
182#63440C2211yescharacteristic, complemented
183#63440C2211yescharacteristic, complemented
184#63440C2211yescharacteristic, complemented
185#63440C2211yescharacteristic, complemented
186#63439C2211yescharacteristic, complemented
187#63439C2211yescharacteristic, complemented
188C3×#534D311yescharacteristic
189#5806—31no—
190#5804—31no—
191D4×#67—31no—
192C2×#938—31no—
193#5667—31no—
194#5665—31no—
195#5665—31no—
196#5661—31no—
197#5660—31no—
198#5657—31no—
199#5656—31no—
200D3×#123—31no—
201#5621—31no—
202#5620—31no—
203#5619—31no—
204#5615—31no—
205#5614—31no—
206#5613—31no—
207#5612—31no—
208#5608—31no—
209#5595—31no—
210#5593—31no—
211#5591—31no—
212#5591—31no—
213#5591—31no—
214#5590—31no—
215#5589—31no—
216#5587—31no—
217#5495—31no—
218#5490—31no—
219C24×C9C2311yescharacteristic
220C24×C9C2311yescharacteristic
221C24×C9C2311yescharacteristic
222C23×D9C2311yescharacteristic
223C23×D9C2311yescharacteristic
224C23×D9C2311yescharacteristic
225C2×D4×C9—42no—
226C2×D4×C9—42no—
227C2×D4×C9C2311yescharacteristic
228C2×D4×C9C2311yescharacteristic
229C2×D4×C9C2311yescharacteristic
230C2×D4×C9C2311yescharacteristic
231C2×D4×C9C2311yescharacteristic
232C2×D4×C9C2311yescharacteristic
233C2×D4×C9C2311yescharacteristic
234C2×D4×C9C2311yescharacteristic
235C2×D4×C9C2311yescharacteristic
236C2×D4×C9C2311yescharacteristic
237C2×D4×C9C2311yescharacteristic
238C2×D4×C9C2311yescharacteristic
239C22×C4×C9C2311yescharacteristic
240C22×C4×C9C2311yescharacteristic
241C22×C4×C9C2311yescharacteristic
242C22×C4×C9C2311yescharacteristic
243C2×#611—42no—
244C2×#611—42no—
245C2×#611—42no—
246C2×#611—42no—
247C2×#611C2311yescharacteristic
248C2×#611C2311yescharacteristic
249C2×#611C2311yescharacteristic
250C2×#611C2311yescharacteristic
251C2×#611C2311yescharacteristic
252C2×#611C2311yescharacteristic
253C2×#611C2311yescharacteristic
254C2×#611C2311yescharacteristic
255C2×#611C2311yescharacteristic
256C2×#611C2311yescharacteristic
257C2×#611C2311yescharacteristic
258C2×#611C2311yescharacteristic
259C2×#611C2311yescharacteristic
260C2×#611C2311yescharacteristic
261C2×#611C2311yescharacteristic
262C2×#611C2311yescharacteristic
263C2×#611C2311yescharacteristic
264C2×#611C2311yescharacteristic
265C2×#611C2311yescharacteristic
266C2×#611C2311yescharacteristic
267C2×#611C2311yescharacteristic
268C2×#611C2311yescharacteristic
269C22×Dic9C2311yescharacteristic
270C22×Dic9C2311yescharacteristic
271C22×Dic9C2311yescharacteristic
272C22×Dic9C2311yescharacteristic
273C22×Dic9C2311yescharacteristic
274C22×Dic9C2311yescharacteristic
275C22×Dic9C2311yescharacteristic
276C22×Dic9C2311yescharacteristic
277C22×Dic9C2311yescharacteristic
278#3699—42no—
279#3699—42no—
280D4×D9—42no—
281D4×D9—42no—
282#3697—42no—
283C2×D36C2311yescharacteristic
284C2×D36C2311yescharacteristic
285C2×D36C2311yescharacteristic
286C2×C4×D9—42no—
287C2×C4×D9C2311yescharacteristic
288C2×C4×D9C2311yescharacteristic
289C2×C4×D9C2311yescharacteristic
290C2×C4×D9C2311yescharacteristic
291C2×C4×D9C2311yescharacteristic
292C2×C4×D9C2311yescharacteristic
293C2×C4×D9C2311yescharacteristic
294C2×C4×D9C2311yescharacteristic
295C2×C4×D9C2311yescharacteristic
296C2×C4×D9C2311yescharacteristic
297C2×Dic18C2311yescharacteristic
298C2×Dic18C2311yescharacteristic
299C2×Dic18C2311yescharacteristic
300C9×C4⋊C4C2311yescharacteristic
301C9×C4⋊C4C2311yescharacteristic
302C9×C4⋊C4C2311yescharacteristic
303C9×C4⋊C4C2311yescharacteristic
304C9×C22⋊C4C2311yescharacteristic
305C9×C22⋊C4C2311yescharacteristic
306C9×C22⋊C4C2311yescharacteristic
307C9×C22⋊C4C2311yescharacteristic
308C9×C22⋊C4C2311yescharacteristic
309C9×C22⋊C4C2311yescharacteristic
310C9×C22⋊C4C2311yescharacteristic
311C9×C22⋊C4C2311yescharacteristic
312C9×C22⋊C4C2311yescharacteristic
313C9×C22⋊C4C2311yescharacteristic
314C9×C22⋊C4C2311yescharacteristic
315C9×C22⋊C4C2311yescharacteristic
316#3676C2311yescharacteristic
317#3676C2311yescharacteristic
318#3676C2311yescharacteristic
319#3676C2311yescharacteristic
320#3676C2311yescharacteristic
321#3676C2311yescharacteristic
322#3676C2311yescharacteristic
323#3676C2311yescharacteristic
324#3676C2311yescharacteristic
325#3676C2311yescharacteristic
326#3676C2311yescharacteristic
327#3676C2311yescharacteristic
328#3676C2311yescharacteristic
329#3676C2311yescharacteristic
330#3676C2311yescharacteristic
331#3676C2311yescharacteristic
332#3676C2311yescharacteristic
333#3676C2311yescharacteristic
334#3676C2311yescharacteristic
335#3676C2311yescharacteristic
336#3676C2311yescharacteristic
337#3676C2311yescharacteristic
338(C2×D9)⋊C4C2311yescharacteristic
339(C2×D9)⋊C4C2311yescharacteristic
340(C2×D9)⋊C4C2311yescharacteristic
341(C2×D9)⋊C4C2311yescharacteristic
342(C2×D9)⋊C4C2311yescharacteristic
343(C2×D9)⋊C4C2311yescharacteristic
344(C2×D9)⋊C4C2311yescharacteristic
345(C2×D9)⋊C4C2311yescharacteristic
346(C2×D9)⋊C4C2311yescharacteristic
347(C2×D9)⋊C4C2311yescharacteristic
348(C2×D9)⋊C4C2311yescharacteristic
349(C2×D9)⋊C4C2311yescharacteristic
350(C2×D9)⋊C4C2311yescharacteristic
351(C2×D9)⋊C4C2311yescharacteristic
352(C2×D9)⋊C4C2311yescharacteristic
353(C2×D9)⋊C4C2311yescharacteristic
354C4⋊Dic9C2311yescharacteristic
355C4⋊Dic9C2311yescharacteristic
356C4⋊Dic9C2311yescharacteristic
357C4⋊Dic9C2311yescharacteristic
358C4⋊Dic9C2311yescharacteristic
359C4⋊Dic9C2311yescharacteristic
360C4⋊Dic9C2311yescharacteristic
361C4⋊Dic9C2311yescharacteristic
362C4⋊Dic9C2311yescharacteristic
363C4⋊Dic9C2311yescharacteristic
364Dic9⋊C4C2311yescharacteristic
365Dic9⋊C4C2311yescharacteristic
366Dic9⋊C4C2311yescharacteristic
367Dic9⋊C4C2311yescharacteristic
368Dic9⋊C4C2311yescharacteristic
369Dic9⋊C4C2311yescharacteristic
370Dic9⋊C4C2311yescharacteristic
371Dic9⋊C4C2311yescharacteristic
372Dic9⋊C4C2311yescharacteristic
373Dic9⋊C4C2311yescharacteristic
374Dic9⋊C4C2311yescharacteristic
375Dic9⋊C4C2311yescharacteristic
376Dic9⋊C4C2311yescharacteristic
377Dic9⋊C4C2311yescharacteristic
378Dic9⋊C4C2311yescharacteristic
379Dic9⋊C4C2311yescharacteristic
380C4×Dic9C2311yescharacteristic
381C4×Dic9C2311yescharacteristic
382C4×Dic9C2311yescharacteristic
383C4×Dic9C2311yescharacteristic
384C4×Dic9C2311yescharacteristic
385C4×Dic9C2311yescharacteristic
386#3534—91noSylow
387C22×C3×D4C2×D311yescharacteristic
388C22×C3×D4C2×D311yescharacteristic
389C22×#67—31no—
390C22×#67—31no—
391C22×#67—31no—
392C22×#67—31no—
393C2×#237—31no—
394C2×#237—31no—
395C2×D3×D4—31no—
396C2×D3×D4—31no—
397C2×#235—31no—
398C22×C4×D3—31no—
399C3×#123C2×D311yescharacteristic
400C3×#123C2×D311yescharacteristic
401C3×#123C2×D311yescharacteristic
402C3×#123C2×D311yescharacteristic
403C3×#121C2×D311yescharacteristic
404C3×#121C2×D311yescharacteristic
405C3×#121C2×D311yescharacteristic
406C3×#121C2×D311yescharacteristic
407C3×#120C2×D311yescharacteristic
408C3×#120C2×D311yescharacteristic
409C3×#120C2×D311yescharacteristic
410C3×#120C2×D311yescharacteristic
411C2×C3×C22⋊C4C2×D311yescharacteristic
412#953—31no—
413#953—31no—
414#953—31no—
415#953—31no—
416C2×#217—31no—
417C2×#217—31no—
418C2×#217—31no—
419C2×#217—31no—
420#940—31no—
421#940—31no—
422#939—31no—
423#939—31no—
424#939—31no—
425#939—31no—
426#939—31no—
427#939—31no—
428#939—31no—
429#939—31no—
430#939—31no—
431#939—31no—
432#939—31no—
433#939—31no—
434#938—31no—
435#938—31no—
436#938—31no—
437#938—31no—
438#938—31no—
439#938—31no—
440#938—31no—
441#938—31no—
442#938—31no—
443#938—31no—
444#938—31no—
445#938—31no—
446#937—31no—
447#937—31no—
448#937—31no—
449#937—31no—
450#937—31no—
451#937—31no—
452#936—31no—
453#936—31no—
454#935—31no—
455#935—31no—
456#935—31no—
457#935—31no—
458#935—31no—
459#935—31no—
460D4×Dic3—31no—
461D4×Dic3—31no—
462D4×Dic3—31no—
463D4×Dic3—31no—
464#930—31no—
465#930—31no—
466#929—31no—
467#929—31no—
468#929—31no—
469#929—31no—
470C4×#67—31no—
471C4×#67—31no—
472C4×#67—31no—
473C4×#67—31no—
474#926—31no—
475C2×C4⋊Dic3—31no—
476#924—31no—
477#924—31no—
478#898—31no—
479#898—31no—
480#897—31no—
481#897—31no—
482#896—31no—
483#896—31no—
484#894—31no—
485#894—31no—
486#893—31no—
487#893—31no—
488D3×C4⋊C4—31no—
489D3×C4⋊C4—31no—
490#890—31no—
491#890—31no—
492#889—31no—
493#889—31no—
494#886—31no—
495#886—31no—
496#886—31no—
497#886—31no—
498#885—31no—
499#885—31no—
500#885—31no—
501#885—31no—
502#884—31no—
503#884—31no—
504#884—31no—
505#884—31no—
506#884—31no—
507#884—31no—
508#883—31no—
509#883—31no—
510#883—31no—
511#883—31no—
512#883—31no—
513#883—31no—
514#883—31no—
515#883—31no—
516#882—31no—
517#882—31no—
518#67⋊C4—31no—
519#67⋊C4—31no—
520#67⋊C4—31no—
521#67⋊C4—31no—
522#67⋊C4—31no—
523#67⋊C4—31no—
524D3×C22⋊C4—31no—
525D3×C22⋊C4—31no—
526D3×C22⋊C4—31no—
527D3×C22⋊C4—31no—
528#879—31no—
529#879—31no—
530#879—31no—
531#879—31no—
532#879—31no—
533#879—31no—
534#878—31no—
535#878—31no—
536#878—31no—
537#878—31no—
538#878—31no—
539#878—31no—
540#877—31no—
541#877—31no—
542C23×C9—22no—
543C23×C9—22no—
544C23×C9—41no—
545C23×C9—41no—
546C23×C9—41no—
547C23×C9—41no—
548C23×C9—41no—
549C23×C9—41no—
550C23×C9—41no—
551C23×C9C2411yescharacteristic
552C23×C9C2411yescharacteristic
553C23×C9C2411yescharacteristic
554C23×C9C2411yescharacteristic
555C23×C9C2411yescharacteristic
556C23×C9C2411yescharacteristic
557C23×C9C2411yescharacteristic
558C22×D9—22no—
559C22×D9—22no—
560C22×D9—22no—
561C22×D9—41no—
562C22×D9—41no—
563C22×D9—41no—
564C22×D9—41no—
565C22×D9—41no—
566C22×D9—41no—
567C22×D9C2411yescharacteristic
568C22×D9C2411yescharacteristic
569C22×D9C2411yescharacteristic
570C22×D9C2411yescharacteristic
571D4×C9—22no—
572D4×C9—22no—
573D4×C9—41no—
574D4×C9—41no—
575D4×C9—41no—
576D4×C9—41no—
577D4×C9—41no—
578D4×C9—41no—
579D4×C9—41no—
580D4×C9—41no—
581D4×C9—41no—
582D4×C9—41no—
583C2×C4×C9—22no—
584C2×C4×C9—41no—
585C2×C4×C9—41no—
586C2×C4×C9—41no—
587C2×C4×C9C2411yescharacteristic
588C2×C4×C9C2411yescharacteristic
589C2×C4×C9C2411yescharacteristic
590C2×C4×C9C2411yescharacteristic
591C2×C4×C9C2411yescharacteristic
592C2×C4×C9C2411yescharacteristic
593C2×C4×C9C2411yescharacteristic
594C2×C4×C9C2411yescharacteristic
595#611—22no—
596#611—22no—
597#611—22no—
598#611—22no—
599#611—22no—
600#611—22no—
601#611—22no—
602#611—41no—
603#611—41no—
604#611—41no—
605#611—41no—
606#611—41no—
607#611—41no—
608#611—41no—
609#611—41no—
610#611—41no—
611#611—41no—
612#611—41no—
613#611—41no—
614#611—41no—
615#611—41no—
616#611—41no—
617C2×Dic9—22no—
618C2×Dic9—41no—
619C2×Dic9—41no—
620C2×Dic9—41no—
621C2×Dic9—41no—
622C2×Dic9—41no—
623C2×Dic9—41no—
624C2×Dic9—41no—
625C2×Dic9—41no—
626C2×Dic9C2411yescharacteristic
627C2×Dic9C2411yescharacteristic
628C2×Dic9C2411yescharacteristic
629C2×Dic9C2411yescharacteristic
630C2×Dic9C2411yescharacteristic
631C2×Dic9C2411yescharacteristic
632C2×Dic9C2411yescharacteristic
633C2×Dic9C2411yescharacteristic
634C2×Dic9C2411yescharacteristic
635C2×Dic9C2411yescharacteristic
636C2×Dic9C2411yescharacteristic
637C2×Dic9C2411yescharacteristic
638D36—22no—
639D36—41no—
640D36—41no—
641C4×D9—22no—
642C4×D9—41no—
643C4×D9—41no—
644C4×D9—41no—
645C4×D9—41no—
646C4×D9—41no—
647C4×D9—41no—
648C4×D9—41no—
649C4×D9—41no—
650C4×D9—41no—
651Dic18—41no—
652Dic18—41no—
653Dic18—41no—
654#562—91no—
655#562—91no—
656#560—91no—
657#560—91no—
658#553—91no—
659#553—91no—
660#551—91no—
661#551—91no—
662#546—91no—
663#546—91no—
664#546—91no—
665#546—91no—
666#546—91no—
667#546—91no—
668D42—91no—
669D42—91no—
670#540—91no—
671#540—91no—
672#539—91no—
673#539—91no—
674#539—91no—
675#538—91no—
676#538—91no—
677#538—91no—
678#537—91no—
679#534—91no—
680#534—91no—
681#534D911yescharacteristic, complemented
682#525—91no—
683C2×#123—91no—
684C2×#121—91no—
685C24×C3C22×D311yescharacteristic
686C24×C3C22×D311yescharacteristic
687C24×C3C22×D311yescharacteristic
688C23×D3—31no—
689C23×D3—31no—
690C23×D3—31no—
691C2×C3×D4—42no—
692C2×C3×D4—42no—
693C2×C3×D4C22×D311yescharacteristic
694C2×C3×D4C22×D311yescharacteristic
695C2×C3×D4C22×D311yescharacteristic
696C2×C3×D4C22×D311yescharacteristic
697C2×C3×D4C22×D311yescharacteristic
698C2×C3×D4C22×D311yescharacteristic
699C2×C3×D4C22×D311yescharacteristic
700C2×C3×D4C22×D311yescharacteristic
701C2×C3×D4C22×D311yescharacteristic
702C2×C3×D4C22×D311yescharacteristic
703C2×C3×D4C22×D311yescharacteristic
704C2×C3×D4C22×D311yescharacteristic
705C22×C3×C4C22×D311yescharacteristic
706C22×C3×C4C22×D311yescharacteristic
707C22×C3×C4C22×D311yescharacteristic
708C22×C3×C4C22×D311yescharacteristic
709C2×#67—31no—
710C2×#67—31no—
711C2×#67—31no—
712C2×#67—31no—
713C2×#67—31no—
714C2×#67—31no—
715C2×#67—31no—
716C2×#67—31no—
717C2×#67—31no—
718C2×#67—31no—
719C2×#67—31no—
720C2×#67—31no—
721C2×#67—31no—
722C2×#67—31no—
723C2×#67—31no—
724C2×#67—31no—
725C2×#67—31no—
726C2×#67—31no—
727C2×#67—31no—
728C2×#67—31no—
729C2×#67—31no—
730C2×#67—31no—
731C2×#67—122no—
732C2×#67—122no—
733C2×#67—122no—
734C2×#67—122no—
735C22×Dic3—31no—
736C22×Dic3—31no—
737C22×Dic3—31no—
738C22×Dic3—31no—
739C22×Dic3—31no—
740C22×Dic3—31no—
741C22×Dic3—31no—
742C22×Dic3—31no—
743C22×Dic3—31no—
744#237—122no—
745#237—122no—
746D3×D4—122no—
747D3×D4—122no—
748#235—122no—
749C2×D12—31no—
750C2×D12—31no—
751C2×D12—31no—
752C2×C4×D3—31no—
753C2×C4×D3—31no—
754C2×C4×D3—31no—
755C2×C4×D3—31no—
756C2×C4×D3—31no—
757C2×C4×D3—31no—
758C2×C4×D3—31no—
759C2×C4×D3—31no—
760C2×C4×D3—31no—
761C2×C4×D3—31no—
762C2×C4×D3—122no—
763C2×Dic6—31no—
764C2×Dic6—31no—
765C2×Dic6—31no—
766C3×C4⋊C4C22×D311yescharacteristic
767C3×C4⋊C4C22×D311yescharacteristic
768C3×C4⋊C4C22×D311yescharacteristic
769C3×C4⋊C4C22×D311yescharacteristic
770C3×C22⋊C4C22×D311yescharacteristic
771C3×C22⋊C4C22×D311yescharacteristic
772C3×C22⋊C4C22×D311yescharacteristic
773C3×C22⋊C4C22×D311yescharacteristic
774C3×C22⋊C4C22×D311yescharacteristic
775C3×C22⋊C4C22×D311yescharacteristic
776C3×C22⋊C4C22×D311yescharacteristic
777C3×C22⋊C4C22×D311yescharacteristic
778C3×C22⋊C4C22×D311yescharacteristic
779C3×C22⋊C4C22×D311yescharacteristic
780C3×C22⋊C4C22×D311yescharacteristic
781C3×C22⋊C4C22×D311yescharacteristic
782#217—31no—
783#217—31no—
784#217—31no—
785#217—31no—
786#217—31no—
787#217—31no—
788#217—31no—
789#217—31no—
790#217—31no—
791#217—31no—
792#217—31no—
793#217—31no—
794#217—31no—
795#217—31no—
796#217—31no—
797#217—31no—
798#217—31no—
799#217—31no—
800#217—31no—
801#217—31no—
802#217—31no—
803#217—31no—
804(C2×D3)⋊C4—31no—
805(C2×D3)⋊C4—31no—
806(C2×D3)⋊C4—31no—
807(C2×D3)⋊C4—31no—
808(C2×D3)⋊C4—31no—
809(C2×D3)⋊C4—31no—
810(C2×D3)⋊C4—31no—
811(C2×D3)⋊C4—31no—
812(C2×D3)⋊C4—31no—
813(C2×D3)⋊C4—31no—
814(C2×D3)⋊C4—31no—
815(C2×D3)⋊C4—31no—
816(C2×D3)⋊C4—31no—
817(C2×D3)⋊C4—31no—
818(C2×D3)⋊C4—31no—
819(C2×D3)⋊C4—31no—
820C4⋊Dic3—31no—
821C4⋊Dic3—31no—
822C4⋊Dic3—31no—
823C4⋊Dic3—31no—
824C4⋊Dic3—31no—
825C4⋊Dic3—31no—
826C4⋊Dic3—31no—
827C4⋊Dic3—31no—
828C4⋊Dic3—31no—
829C4⋊Dic3—31no—
830Dic3⋊C4—31no—
831Dic3⋊C4—31no—
832Dic3⋊C4—31no—
833Dic3⋊C4—31no—
834Dic3⋊C4—31no—
835Dic3⋊C4—31no—
836Dic3⋊C4—31no—
837Dic3⋊C4—31no—
838Dic3⋊C4—31no—
839Dic3⋊C4—31no—
840Dic3⋊C4—31no—
841Dic3⋊C4—31no—
842Dic3⋊C4—31no—
843Dic3⋊C4—31no—
844Dic3⋊C4—31no—
845Dic3⋊C4—31no—
846C4×Dic3—31no—
847C4×Dic3—31no—
848C4×Dic3—31no—
849C4×Dic3—31no—
850C4×Dic3—31no—
851C4×Dic3—31no—
852C22×C9—21no—
853C22×C9—21no—
854C22×C9—21no—
855C22×C9—21no—
856C22×C9—21no—
857C22×C9—21no—
858C22×C9—21no—
859C22×C9—21no—
860C22×C9—21no—
861C22×C9—21no—
862C22×C9—21no—
863C22×C9—21no—
864C22×C9—21no—
865C22×C9—21no—
866C22×C9—21no—
867C22×C9—21no—
868C22×C9—21no—
869C22×C9—21no—
870C22×C9—21no—
871C22×C9—21no—
872C22×C9—82no—
873C22×C9—82no—
874C22×C9—82no—
875C22×C9H(5,𝔽2)12yes—
876C22×C9C2511yescharacteristic
877C2×D9—21no—
878C2×D9—21no—
879C2×D9—21no—
880C2×D9—21no—
881C2×D9—21no—
882C2×D9—21no—
883C2×D9—21no—
884C2×D9—21no—
885C2×D9—21no—
886C2×D9—21no—
887C2×D9—21no—
888C2×D9—44no—
889C2×D9—82no—
890C2×D9—82no—
891C2×D9H(5,𝔽2)12yes—
892C4×C9—21no—
893C4×C9—21no—
894C4×C9—21no—
895C4×C9—21no—
896C4×C9—21no—
897C4×C9—21no—
898C4×C9—21no—
899C4×C9—21no—
900Dic9—21no—
901Dic9—21no—
902Dic9—21no—
903Dic9—21no—
904Dic9—21no—
905Dic9—21no—
906Dic9—21no—
907Dic9—21no—
908Dic9—21no—
909Dic9—21no—
910Dic9—21no—
911Dic9—21no—
912C2×#41—91no—
913C2×#41—91no—
914C2×#41—91no—
915C22×D4—91no—
916C22×D4—91no—
917C22×D4—91no—
918C22×D4—91no—
919C22×D4—91no—
920C22×D4—91no—
921C22×D4C2×D911yescharacteristic, complemented
922C22×D4C2×D911yescharacteristic, complemented
923C23×C4—91no—
924#127—91no—
925#127—91no—
926#126—91no—
927#126—91no—
928#126—91no—
929#126—91no—
930#126—91no—
931#126—91no—
932#126—91no—
933#126—91no—
934#125—91no—
935#125—91no—
936#125—91no—
937#125—91no—
938#124—91no—
939#124—91no—
940#124—91no—
941#124—91no—
942#124—91no—
943#124—91no—
944#123—91no—
945#123—91no—
946#123—91no—
947#123—91no—
948#123—91no—
949#123—91no—
950#123—91no—
951#123—91no—
952#123—91no—
953#123—91no—
954#123—91no—
955#123—91no—
956#123—91no—
957#123—91no—
958#123—91no—
959#123—91no—
960#123—91no—
961#123—91no—
962#123—91no—
963#123—91no—
964#123—91no—
965#123—91no—
966#123—91no—
967#123—91no—
968#123C2×D911yescharacteristic, complemented
969#123C2×D911yescharacteristic, complemented
970#123C2×D911yescharacteristic, complemented
971#123C2×D911yescharacteristic, complemented
972C22⋊Q8—91no—
973C22⋊Q8—91no—
974C22⋊Q8—91no—
975C22⋊Q8—91no—
976C22⋊Q8—91no—
977C22⋊Q8—91no—
978C22⋊Q8—91no—
979C22⋊Q8—91no—
980C22⋊Q8—91no—
981C22⋊Q8—91no—
982C22⋊Q8—91no—
983C22⋊Q8—91no—
984#121—91no—
985#121—91no—
986#121—91no—
987#121—91no—
988#121—91no—
989#121—91no—
990#121—91no—
991#121—91no—
992#121—91no—
993#121—91no—
994#121—91no—
995#121—91no—
996#121—91no—
997#121—91no—
998#121—91no—
999#121—91no—
1000#121—91no—
1001#121—91no—
1002#121—91no—
1003#121—91no—
1004#121—91no—
1005#121—91no—
1006#121—91no—
1007#121—91no—
1008#121—91no—
1009#121—91no—
1010#121—91no—
1011#121—91no—
1012#121—91no—
1013#121—91no—
1014#121—91no—
1015#121—91no—
1016#121C2×D911yescharacteristic, complemented
1017#121C2×D911yescharacteristic, complemented
1018#121C2×D911yescharacteristic, complemented
1019#121C2×D911yescharacteristic, complemented
1020#120—91no—
1021#120—91no—
1022#120—91no—
1023#120—91no—
1024#120—91no—
1025#120—91no—
1026#120—91no—
1027#120—91no—
1028#120—91no—
1029#120—91no—
1030#120—91no—
1031#120—91no—
1032#120C2×D911yescharacteristic
1033#120C2×D911yescharacteristic, complemented
1034#120C2×D911yescharacteristic, complemented
1035#120C2×D911yescharacteristic, complemented
1036C4×D4—91no—
1037C4×D4—91no—
1038C4×D4—91no—
1039C4×D4—91no—
1040C4×D4—91no—
1041C4×D4—91no—
1042C4×D4—91no—
1043C4×D4—91no—
1044C4×D4—91no—
1045C4×D4—91no—
1046C4×D4—91no—
1047C4×D4—91no—
1048C4×D4—91no—
1049C4×D4—91no—
1050C4×D4—91no—
1051C4×D4—91no—
1052#117—91no—
1053#117—91no—
1054#117—91no—
1055C2×C4⋊C4—91no—
1056C2×C4⋊C4—91no—
1057C2×C4⋊C4—91no—
1058C2×C22⋊C4—91no—
1059C2×C22⋊C4—91no—
1060C2×C22⋊C4—91no—
1061C2×C22⋊C4—91no—
1062C2×C22⋊C4—91no—
1063C2×C22⋊C4—91no—
1064C2×C22⋊C4—91no—
1065C2×C22⋊C4—91no—
1066C2×C22⋊C4C2×D911yescharacteristic, complemented
1067C23×C3—22no—
1068C23×C3—22no—
1069C23×C3—41no—
1070C23×C3—41no—
1071C23×C3—41no—
1072C23×C3—41no—
1073C23×C3—41no—
1074C23×C3—41no—
1075C23×C3—41no—
1076C23×C3C23×D311yescharacteristic
1077C23×C3C23×D311yescharacteristic
1078C23×C3C23×D311yescharacteristic
1079C23×C3C23×D311yescharacteristic
1080C23×C3C23×D311yescharacteristic
1081C23×C3C23×D311yescharacteristic
1082C23×C3C23×D311yescharacteristic
1083C22×D3—31no—
1084C22×D3—31no—
1085C22×D3—31no—
1086C22×D3—31no—
1087C22×D3—62no—
1088C22×D3—62no—
1089C22×D3—62no—
1090C22×D3—121no—
1091C22×D3—121no—
1092C22×D3—121no—
1093C22×D3—121no—
1094C22×D3—121no—
1095C22×D3—121no—
1096C3×D4—22no—
1097C3×D4—22no—
1098C3×D4—41no—
1099C3×D4—41no—
1100C3×D4—41no—
1101C3×D4—41no—
1102C3×D4—41no—
1103C3×D4—41no—
1104C3×D4—41no—
1105C3×D4—41no—
1106C3×D4—41no—
1107C3×D4—41no—
1108C2×C3×C4—22no—
1109C2×C3×C4—41no—
1110C2×C3×C4—41no—
1111C2×C3×C4—41no—
1112C2×C3×C4C23×D311yescharacteristic
1113C2×C3×C4C23×D311yescharacteristic
1114C2×C3×C4C23×D311yescharacteristic
1115C2×C3×C4C23×D311yescharacteristic
1116C2×C3×C4C23×D311yescharacteristic
1117C2×C3×C4C23×D311yescharacteristic
1118C2×C3×C4C23×D311yescharacteristic
1119C2×C3×C4C23×D311yescharacteristic
1120#67—62no—
1121#67—62no—
1122#67—62no—
1123#67—62no—
1124#67—62no—
1125#67—62no—
1126#67—62no—
1127#67—121no—
1128#67—121no—
1129#67—121no—
1130#67—121no—
1131#67—121no—
1132#67—121no—
1133#67—121no—
1134#67—121no—
1135#67—121no—
1136#67—121no—
1137#67—121no—
1138#67—121no—
1139#67—121no—
1140#67—121no—
1141#67—121no—
1142C2×Dic3—31no—
1143C2×Dic3—31no—
1144C2×Dic3—31no—
1145C2×Dic3—31no—
1146C2×Dic3—31no—
1147C2×Dic3—31no—
1148C2×Dic3—31no—
1149C2×Dic3—31no—
1150C2×Dic3—31no—
1151C2×Dic3—31no—
1152C2×Dic3—31no—
1153C2×Dic3—31no—
1154C2×Dic3—62no—
1155C2×Dic3—121no—
1156C2×Dic3—121no—
1157C2×Dic3—121no—
1158C2×Dic3—121no—
1159C2×Dic3—121no—
1160C2×Dic3—121no—
1161C2×Dic3—121no—
1162C2×Dic3—121no—
1163D12—62no—
1164D12—121no—
1165D12—121no—
1166C4×D3—62no—
1167C4×D3—121no—
1168C4×D3—121no—
1169C4×D3—121no—
1170C4×D3—121no—
1171C4×D3—121no—
1172C4×D3—121no—
1173C4×D3—121no—
1174C4×D3—121no—
1175C4×D3—121no—
1176Dic6—121no—
1177Dic6—121no—
1178Dic6—121no—
1179C2×C9—22no—
1180C2×C9—41no—
1181C2×C9—41no—
1182C2×C9—41no—
1183C2×C9—41no—
1184C2×C9—41no—
1185C2×C9—41no—
1186C2×C9C2×H(5,𝔽2)11yescharacteristic
1187C2×C9C2×H(5,𝔽2)11yescharacteristic
1188C2×C9#58511yescharacteristic
1189D9—22no—
1190D9—41no—
1191D9—41no—
1192D9—41no—
1193C24—91no—
1194C24—91no—
1195C24—91no—
1196C24C22×D911yescharacteristic
1197C24C22×D911yescharacteristic
1198C24C22×D911yescharacteristic
1199#41—362no—
1200#41—362no—
1201#41—362no—
1202C2×Q8—91no—
1203C2×Q8—91no—
1204C2×Q8—91no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—91no—
1208C2×D4—91no—
1209C2×D4—91no—
1210C2×D4—91no—
1211C2×D4—91no—
1212C2×D4—91no—
1213C2×D4—91no—
1214C2×D4—91no—
1215C2×D4—91no—
1216C2×D4—91no—
1217C2×D4—91no—
1218C2×D4—91no—
1219C2×D4—91no—
1220C2×D4—91no—
1221C2×D4—91no—
1222C2×D4—91no—
1223C2×D4—91no—
1224C2×D4—91no—
1225C2×D4—91no—
1226C2×D4—91no—
1227C2×D4—91no—
1228C2×D4—91no—
1229C2×D4—91no—
1230C2×D4—91no—
1231C2×D4—91no—
1232C2×D4—362no—
1233C2×D4—362no—
1234C2×D4—362no—
1235C2×D4—362no—
1236C2×D4—362no—
1237C2×D4—362no—
1238C2×D4C22×D911yescharacteristic
1239C2×D4C22×D911yescharacteristic
1240C2×D4C22×D911yescharacteristic
1241C2×D4C22×D911yescharacteristic
1242C2×D4C22×D911yescharacteristic
1243C2×D4C22×D911yescharacteristic
1244C2×D4C22×D911yescharacteristic
1245C2×D4C22×D911yescharacteristic
1246C2×D4C22×D911yescharacteristic
1247C2×D4C22×D911yescharacteristic
1248C2×D4C22×D911yescharacteristic
1249C2×D4C22×D911yescharacteristic
1250C22×C4—91no—
1251C22×C4—91no—
1252C22×C4—91no—
1253C22×C4—91no—
1254C22×C4—91no—
1255C22×C4—91no—
1256C22×C4—91no—
1257C22×C4—91no—
1258C22×C4—91no—
1259C22×C4—91no—
1260C22×C4—91no—
1261C22×C4—91no—
1262C22×C4—91no—
1263C22×C4—91no—
1264C22×C4—91no—
1265C22×C4—91no—
1266C22×C4—91no—
1267C22×C4—91no—
1268C22×C4—91no—
1269C22×C4—362no—
1270C22×C4C22×D911yescharacteristic
1271C22×C4C22×D911yescharacteristic
1272C22×C4C22×D911yescharacteristic
1273C22×C4C22×D911yescharacteristic
1274C4⋊C4—91no—
1275C4⋊C4—91no—
1276C4⋊C4—91no—
1277C4⋊C4—91no—
1278C4⋊C4—91no—
1279C4⋊C4—91no—
1280C4⋊C4—91no—
1281C4⋊C4—91no—
1282C4⋊C4—91no—
1283C4⋊C4—91no—
1284C4⋊C4—91no—
1285C4⋊C4—91no—
1286C4⋊C4—91no—
1287C4⋊C4—91no—
1288C4⋊C4—91no—
1289C4⋊C4—91no—
1290C4⋊C4—91no—
1291C4⋊C4—91no—
1292C4⋊C4—91no—
1293C4⋊C4—91no—
1294C4⋊C4—91no—
1295C4⋊C4—91no—
1296C4⋊C4—91no—
1297C4⋊C4—91no—
1298C4⋊C4—91no—
1299C4⋊C4—91no—
1300C4⋊C4C22×D911yescharacteristic
1301C4⋊C4C22×D911yescharacteristic
1302C4⋊C4C22×D911yescharacteristic
1303C4⋊C4C22×D911yescharacteristic
1304C22⋊C4—91no—
1305C22⋊C4—91no—
1306C22⋊C4—91no—
1307C22⋊C4—91no—
1308C22⋊C4—91no—
1309C22⋊C4—91no—
1310C22⋊C4—91no—
1311C22⋊C4—91no—
1312C22⋊C4—91no—
1313C22⋊C4—91no—
1314C22⋊C4—91no—
1315C22⋊C4—91no—
1316C22⋊C4—91no—
1317C22⋊C4—91no—
1318C22⋊C4—91no—
1319C22⋊C4—91no—
1320C22⋊C4—91no—
1321C22⋊C4—91no—
1322C22⋊C4—91no—
1323C22⋊C4—91no—
1324C22⋊C4—91no—
1325C22⋊C4—91no—
1326C22⋊C4—91no—
1327C22⋊C4—91no—
1328C22⋊C4—91no—
1329C22⋊C4—91no—
1330C22⋊C4—91no—
1331C22⋊C4—91no—
1332C22⋊C4—91no—
1333C22⋊C4—91no—
1334C22⋊C4—91no—
1335C22⋊C4—91no—
1336C22⋊C4—91no—
1337C22⋊C4—91no—
1338C22⋊C4—91no—
1339C22⋊C4—91no—
1340C22⋊C4—91no—
1341C22⋊C4—91no—
1342C22⋊C4C22×D911yescharacteristic
1343C22⋊C4C22×D911yescharacteristic
1344C22⋊C4C22×D911yescharacteristic
1345C22⋊C4C22×D911yescharacteristic
1346C22⋊C4C22×D911yescharacteristic
1347C22⋊C4C22×D911yescharacteristic
1348C22⋊C4C22×D911yescharacteristic
1349C22⋊C4C22×D911yescharacteristic
1350C22⋊C4C22×D911yescharacteristic
1351C22⋊C4C22×D911yescharacteristic
1352C22⋊C4C22×D911yescharacteristic
1353C22⋊C4C22×D911yescharacteristic
1354C42—91no—
1355C42—91no—
1356C42—91no—
1357C42—91no—
1358C42—91no—
1359C42—91no—
1360C22×C3—21no—
1361C22×C3—21no—
1362C22×C3—21no—
1363C22×C3—21no—
1364C22×C3—21no—
1365C22×C3—21no—
1366C22×C3—21no—
1367C22×C3—21no—
1368C22×C3—21no—
1369C22×C3—21no—
1370C22×C3—21no—
1371C22×C3—21no—
1372C22×C3—21no—
1373C22×C3—21no—
1374C22×C3—21no—
1375C22×C3—21no—
1376C22×C3—21no—
1377C22×C3—21no—
1378C22×C3—21no—
1379C22×C3—21no—
1380C22×C3—82no—
1381C22×C3—82no—
1382C22×C3—82no—
1383C22×C3#100412yes—
1384C22×C3C24×D311yescharacteristic
1385C2×D3—32no—
1386C2×D3—61no—
1387C2×D3—61no—
1388C2×D3—61no—
1389C2×D3—61no—
1390C2×D3—61no—
1391C2×D3—61no—
1392C2×D3—61no—
1393C2×D3—61no—
1394C2×D3—61no—
1395C2×D3—61no—
1396C2×D3—61no—
1397C2×D3—124no—
1398C2×D3—242no—
1399C2×D3—242no—
1400C3×C4—21no—
1401C3×C4—21no—
1402C3×C4—21no—
1403C3×C4—21no—
1404C3×C4—21no—
1405C3×C4—21no—
1406C3×C4—21no—
1407C3×C4—21no—
1408Dic3—61no—
1409Dic3—61no—
1410Dic3—61no—
1411Dic3—61no—
1412Dic3—61no—
1413Dic3—61no—
1414Dic3—61no—
1415Dic3—61no—
1416Dic3—61no—
1417Dic3—61no—
1418Dic3—61no—
1419Dic3—61no—
1420C9#353411yescharacteristic, complemented, Sylow
1421C23—22no—
1422C23—22no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—91no—
1431C23—91no—
1432C23—91no—
1433C23—91no—
1434C23—182no—
1435C23—182no—
1436C23—182no—
1437C23—361no—
1438C23—361no—
1439C23—361no—
1440C23—361no—
1441C23—361no—
1442C23—361no—
1443C23C23×D911yescharacteristic
1444C23C23×D911yescharacteristic
1445C23C23×D911yescharacteristic
1446C23C23×D911yescharacteristic
1447C23C23×D911yescharacteristic
1448C23C23×D911yescharacteristic
1449C23C23×D911yescharacteristic
1450Q8—361no—
1451Q8—361no—
1452Q8—361no—
1453D4—22no—
1454D4—22no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—182no—
1466D4—182no—
1467D4—182no—
1468D4—182no—
1469D4—182no—
1470D4—182no—
1471D4—182no—
1472D4—182no—
1473D4—361no—
1474D4—361no—
1475D4—361no—
1476D4—361no—
1477D4—361no—
1478D4—361no—
1479D4—361no—
1480D4—361no—
1481D4—361no—
1482D4—361no—
1483D4—361no—
1484D4—361no—
1485D4—361no—
1486D4—361no—
1487D4—361no—
1488D4—361no—
1489D4—361no—
1490C2×C4—22no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—91no—
1495C2×C4—91no—
1496C2×C4—91no—
1497C2×C4—91no—
1498C2×C4—91no—
1499C2×C4—91no—
1500C2×C4—91no—
1501C2×C4—91no—
1502C2×C4—91no—
1503C2×C4—91no—
1504C2×C4—91no—
1505C2×C4—91no—
1506C2×C4—182no—
1507C2×C4—182no—
1508C2×C4—361no—
1509C2×C4—361no—
1510C2×C4—361no—
1511C2×C4—361no—
1512C2×C4—361no—
1513C2×C4—361no—
1514C2×C4—361no—
1515C2×C4—361no—
1516C2×C4—361no—
1517C2×C4—361no—
1518C2×C4—361no—
1519C2×C4—361no—
1520C2×C4—361no—
1521C2×C4—361no—
1522C2×C4—361no—
1523C2×C4—361no—
1524C2×C4—361no—
1525C2×C4C23×D911yescharacteristic
1526C2×C4C23×D911yescharacteristic
1527C2×C4C23×D911yescharacteristic
1528C2×C4C23×D911yescharacteristic
1529C2×C4C23×D911yescharacteristic
1530C2×C4C23×D911yescharacteristic
1531C2×C4C23×D911yescharacteristic
1532C2×C4C23×D911yescharacteristic
1533C2×C3—22no—
1534C2×C3—41no—
1535C2×C3—41no—
1536C2×C3—41no—
1537C2×C3—41no—
1538C2×C3—41no—
1539C2×C3—41no—
1540C2×C3C2×#100411yescharacteristic
1541C2×C3D3×H(5,𝔽2)11yescharacteristic
1542C2×C3#596611yescharacteristic
1543D3—62no—
1544D3—121no—
1545D3—121no—
1546D3—121no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—21no—
1561C22—21no—
1562C22—21no—
1563C22—21no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—82no—
1568C22—82no—
1569C22—82no—
1570C22—92no—
1571C22—181no—
1572C22—181no—
1573C22—181no—
1574C22—181no—
1575C22—181no—
1576C22—181no—
1577C22—181no—
1578C22—181no—
1579C22—181no—
1580C22—181no—
1581C22—181no—
1582C22—364no—
1583C22—722no—
1584C22—722no—
1585C22#6371012yes—
1586C22C24×D911yescharacteristic
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—181no—
1596C4—181no—
1597C4—181no—
1598C4—181no—
1599C4—181no—
1600C4—181no—
1601C4—181no—
1602C4—181no—
1603C4—181no—
1604C4—181no—
1605C4—181no—
1606C4—181no—
1607C3#8631111yescharacteristic
1608C2—22no—
1609C2—41no—
1610C2—41no—
1611C2—41no—
1612C2—41no—
1613C2—41no—
1614C2—41no—
1615C2—182no—
1616C2—361no—
1617C2—361no—
1618C2—361no—
1619C2C2×#6371011yescharacteristic
1620C2D9×H(5,𝔽2)11yescharacteristic
1621C2#1059314111yescharacteristic
subgroupG/H
centerC22C24×D9
commutator, cosocleC22×C9C25
Frattini, socleC22×C3C24×D3
FittingC9×#534C2
hypercenter#534D9
hypocenterC9#3534
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #534

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C9×#534C2semidirect
2. #10589908C2semidirect
3. #10589906C2semidirect
4. D4×#611C2semidirect
5. C2×#63500C2semidirect
6. #10589769C2semidirect
7. #10589767C2semidirect
8. #10589767C2semidirect
9. #10589763C2semidirect
10. #10589762C2semidirect
11. #10589759C2semidirect
12. #10589758C2semidirect
13. D9×#123C2semidirect
14. #10589723C2semidirect
15. #10589722C2semidirect
16. #10589721C2semidirect
17. #10589717C2semidirect
18. #10589716C2semidirect
19. #10589715C2semidirect
20. #10589714C2semidirect
21. #10589710C2semidirect
22. #10589697C2semidirect
23. #10589695C2semidirect
24. #10589693C2semidirect
25. #10589693C2semidirect
26. #10589693C2semidirect
27. #10589692C2semidirect
28. #10589691C2semidirect
29. #10589689C2semidirect
30. #10589597C2semidirect
31. #10589592C2semidirect
33. C22×D4×C9C22semidirect
34. C22×D4×C9C22semidirect
35. C22×#611C22semidirect
36. C22×#611C22semidirect
37. C22×#611C22semidirect
38. C22×#611C22semidirect
39. C2×#3699C22semidirect
40. C2×#3699C22semidirect
42. C2×D4×D9C22semidirect
43. C2×#3697C22semidirect
44. C22×C4×D9C22semidirect
45. C9×#123C22semidirect
46. C9×#123C22semidirect
47. C9×#123C22semidirect
48. C9×#123C22semidirect
49. C9×#121C22semidirect
50. C9×#121C22semidirect
51. C9×#121C22semidirect
52. C9×#121C22semidirect
54. C9×#120C22semidirect
55. C9×#120C22semidirect
56. C9×#120C22semidirect
57. C2×C9×C22⋊C4C22semidirect
59. #63515C22semidirect
60. #63515C22semidirect
61. #63515C22semidirect
62. C2×#3676C22semidirect
63. C2×#3676C22semidirect
64. C2×#3676C22semidirect
65. C2×#3676C22semidirect
66. #63502C22semidirect
67. #63502C22semidirect
70. #63501C22semidirect
71. #63501C22semidirect
72. #63501C22semidirect
73. #63501C22semidirect
74. #63501C22semidirect
75. #63501C22semidirect
76. #63501C22semidirect
77. #63501C22semidirect
78. #63501C22semidirect
79. #63501C22semidirect
81. #63500C22semidirect
82. #63500C22semidirect
83. #63500C22semidirect
84. #63500C22semidirect
85. #63500C22semidirect
86. #63500C22semidirect
87. #63500C22semidirect
88. #63500C22semidirect
89. #63500C22semidirect
90. #63500C22semidirect
91. #63500C22semidirect
92. #63499C22semidirect
93. #63499C22semidirect
94. #63499C22semidirect
95. #63499C22semidirect
96. #63499C22semidirect
97. #63499C22semidirect
98. #63498C22semidirect
99. #63498C22semidirect
100. #63497C22semidirect
101. #63497C22semidirect
102. #63497C22semidirect
103. #63497C22semidirect
104. #63497C22semidirect
105. #63497C22semidirect
106. D4×Dic9C22semidirect
107. D4×Dic9C22semidirect
108. D4×Dic9C22semidirect
109. D4×Dic9C22semidirect
110. #63492C22semidirect
111. #63492C22semidirect
112. #63491C22semidirect
113. #63491C22semidirect
114. #63491C22semidirect
115. #63491C22semidirect
116. C4×#611C22semidirect
117. C4×#611C22semidirect
118. C4×#611C22semidirect
119. C4×#611C22semidirect
120. #63488C22semidirect
121. C2×C4⋊Dic9C22semidirect
122. #63486C22semidirect
123. #63486C22semidirect
124. #63460C22semidirect
125. #63460C22semidirect
126. #63459C22semidirect
127. #63459C22semidirect
128. #63458C22semidirect
129. #63458C22semidirect
130. #63456C22semidirect
131. #63456C22semidirect
132. #63455C22semidirect
133. #63455C22semidirect
134. C4⋊C4×D9C22semidirect
135. C4⋊C4×D9C22semidirect
136. #63452C22semidirect
137. #63452C22semidirect
138. #63451C22semidirect
139. #63451C22semidirect
140. #63448C22semidirect
141. #63448C22semidirect
142. #63448C22semidirect
143. #63448C22semidirect
144. #63447C22semidirect
145. #63447C22semidirect
146. #63447C22semidirect
147. #63447C22semidirect
148. #63446C22semidirect
149. #63446C22semidirect
150. #63446C22semidirect
151. #63446C22semidirect
152. #63446C22semidirect
153. #63446C22semidirect
154. #63445C22semidirect
155. #63445C22semidirect
156. #63445C22semidirect
157. #63445C22semidirect
158. #63445C22semidirect
159. #63445C22semidirect
160. #63445C22semidirect
161. #63445C22semidirect
162. #63444C22semidirect
163. #63444C22semidirect
164. #611⋊C4C22semidirect
165. #611⋊C4C22semidirect
166. #611⋊C4C22semidirect
167. #611⋊C4C22semidirect
168. #611⋊C4C22semidirect
169. #611⋊C4C22semidirect
170. C22⋊C4×D9C22semidirect
171. C22⋊C4×D9C22semidirect
172. C22⋊C4×D9C22semidirect
173. C22⋊C4×D9C22semidirect
174. #63441C22semidirect
175. #63441C22semidirect
176. #63441C22semidirect
177. #63441C22semidirect
178. #63441C22semidirect
179. #63441C22semidirect
180. #63440C22semidirect
181. #63440C22semidirect
182. #63440C22semidirect
183. #63440C22semidirect
184. #63440C22semidirect
185. #63440C22semidirect
186. #63439C22semidirect
187. #63439C22semidirect
681. #534D9semidirect
921. C22×D4C2×D9semidirect
922. C22×D4C2×D9semidirect
968. #123C2×D9semidirect
969. #123C2×D9semidirect
970. #123C2×D9semidirect
971. #123C2×D9semidirect
1016. #121C2×D9semidirect
1017. #121C2×D9semidirect
1018. #121C2×D9semidirect
1019. #121C2×D9semidirect
1033. #120C2×D9semidirect
1034. #120C2×D9semidirect
1035. #120C2×D9semidirect
1066. C2×C22⋊C4C2×D9semidirect
1420. C9#3534semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C9×#5342
#105899082
#105899062
D4×#6112
C2×#635002
#105897692
#105897672
#105897632
#105897622
#105897592
#105897582
D9×#1232
#105897232
#105897222
#105897212
#105897172
#105897162
#105897152
#105897142
#105897102
#105896972
#105896952
#105896932
#105896922
#105896912
#105896892
#105895972
#105895922
#863113